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Representations of Quivers: Theory and Applications – a Celebration of the 60th Birthday of Bill Crawley-Boevey

The respresentation theory of quivers has developed through a strong interaction of general theory and the investigation of examples.  Bill Crawley-Boevey has had a major influence of the field, his work exemplifying this interaction as well as the entwining of finite- and infinte-dimensional represention theory.  Now quivers and their representations appear in many parts of mathematics, in physics, and in an increading variety of applications.

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Venue: Online

Mathematical Congress of the Americas

The goal of the Mathematical Congress of the Americas (MCA) is to internationally highlight the excellence of mathematical achievements in the Americas and foster collaborations among researchers, students, institutions and mathematical societies in the Americas.

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Venue: Online

British Combinatorial Conference 2021

This biennial meeting covers research in all areas of combinatorics and its applications.  The conference series has been running since 1969 and is the focal event in the UK Combinatorics calendar.

Professor Cheryl Praeger (Western Australia) will give the Clay Lecture, Codes and designs in Johnson graphs with high symmetry.

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Venue: Online from Durham University

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Codes and designs in Johnson graphs with high symmetry

String Math 2021

The String Math series of conferences have become an important event for anyone working at the interface between mathematics and theoretical physics (string theory, quantum field theory and adjacent topics), bringing together an interdisciplinary cohort of pure mathematicians and theoretical physicists.  

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Venue: Online

European Set Theory Conference

This is the largest and most important conference in the world on set theory and related areas, taking place every two years in a European country. The conference provides an international meeting place for junior and senior researchers around the world to interact, and is also the venue for awarding the Hausdorff Medal, the premier honor for work in set theory.

The 2022 program will consist of

  • 15 plenary talks
  • two three-hour tutorials
  • the Hausdorff Medal Lecture, delivered by the winner
  • a special session devoted to the work of Professor Boban Veličkovič
  • daily contributed-talk sessions

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Venue: University of Turin

Frontiers in Geometry and Topology

Geometry and Topology have seen spectacular recent developments, including the solution of classical problems. As a consequence, the established picture of how various parts of these areas fit together is evolving rapidly. On the topological side, among the topics that have progressed are: four-manifolds obtained as knot traces; knot concordance and homology cobordism, Stein fillings. On the Floer homology side, we have powerful new computational methods and new invariants of embedded graphs and webs. On the more analytic side, we have new compactness results and potential new invariants.

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Venue: Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Groups St Andrews 2022 in Newcastle

Groups St Andrews conferences have been held every fours years since 1981, most recently in 2017 in Birmingham.  The conference aims to present new developmetns from all parts of group theory and to provide an opportunity for early career researchers and doctoral students in group theory to discuss their research with international experts and to present their own work to a broad audience.  

Principal speakers at the 2022 event will be Michel Brior (Institut Fourier), Fanny Kassel (IHES), Denis Osin (Vanderbilt) and Pham Huu Tiep (Rutgers).  Plenary speakers include Miklos Abert (Renyi Institute), Yves de Cornulier (Lyon 1),  Bettina Eick (TU Braunschweig), Michael Giudici (UWA), and Jula Pevtsova (Washington).

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Venue: University of Newcastle

Operator Algebras: Subfactors, K-theory and Conformal Field Theory

The focus of this conference is to bring together international experts and upcoming young early career researchers in operator algebras to discuss problems in subfactor theory, K-theory and their application in conformal quantum field theory. 

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Venue: Gregynog Hall, Wales

New Trends in Moduli Spaces and Vector Bundles (VBAC 2022)

This conference will address both fundamental questions in moduli theory, the geometry of moduli spaces and interactions with other areas.  The main topics to be covered include the general theory of stability  conditions in derived categories and non-reductive geometry invariant theory (GIT), higher rank Brill-Noether theory, and Higgs bundles and character varieties.  These strongly inter-connected topics have all experienced intensive research activity in recent times and the time is right to bring the community together.

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Venue: University of Warwick

British Combinatorial Conference 2022

The British Combinatorial Conference (BCC), held biennially, is the foremost UK conference in the field of combinatorics and its applications. Each edition of the BCC includes 9 internationally renowned principal speakers, selected by the British Combinatorial Committee both for the excellence of their research and the clarity of their exposition. These speakers will give survey talks covering a diverse range of topics within the field of combinatorics.  The BCC will also include six invited mini-symposia covering the breadth of combinatorics.

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Venue: Lancaster University

Finite Dimensional Integrable Systems in Geometry and Mathematical Physics

Many natural and prominent problems in the theory of integrable systems were solved by mathematicians from ouside the field, i.e. those who do not consider integrable ystems as their main area of research.  Typically, these people work in Riemannian geometry, algebraic geometry, symplectic geometry, the theory of PDEs, or mathematical physics.  The goal of this conference is to bring such people together to exchange ideas and share methods of study of different problems in integrable systems, applying these new ideas and methods in their specific research projects.

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Venue: Tel Aviv University

Rényi 100

This conference, celebrating the 100th anniversary of the birth of Alfréd Rényi, aims to represent modern probability, graph theory and networks, information theory, dynamical systems, number theory, and other fields in Rényi’s spirit.  Plenary speakers and parallel sessions will explore the interconnections between these and other areas of pure and applied mathematics and show how Rényi’s way of approaching mathematics as a whole determined the shape of these areas.

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Venue: Alfréd Rényi Institute of Mathematics